35.0k views
5 votes
4^-5 as a fraction? Imma lil stuck on this, can you help asap

2 Answers

6 votes

Answer:

1/1024

Step-by-step explanation:

4 to the power of -5 is 0.0009765625, which in fraction form is 9765625/10000000000. Simplifying that turns it into 1/1024

User Harriyott
by
6.1k points
5 votes
Answer:
1/1024

Step-by-step explanation:
This is one of the laws of exponents:

a^-n = 1/a^n

Any number with a negative exponent is equal to the fraction of 1 over the number to the exponent but positive. Therefore:

4^-5=1/4^5
4^-5=1/1024

I hope this helps!
User Chunjw
by
5.9k points